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Finding the Fourth Proportional to 9,636.12, 13,297.86 and 5,444.38

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Solution

The fourth proportional to 9,636.12, 13,297.86 and 5,444.38 is: 7,513.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.12 : 13,297.86 = 5,444.38 : x
  2. Step 2: Convert to fraction form
    9,636.12/13,297.86 = 5,444.38/x
  3. Step 3: Cross multiply
    9,636.12x = 13,297.86 × 5,444.38
  4. Step 4: Simplify right side
    9,636.12x = 72,398,603.03
  5. Step 5: Solve for x
    x = 72,398,603.03/9,636.12
  6. Step 6: Final answer
    x = 7,513.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.